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Chaotic dynamics in a neural network under electromagnetic radiation

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Abstract

In this paper, a small Hopfield neural network with three neurons is studied, in which one of the three neurons is considered to be exposed to electromagnetic radiation. The effect of electromagnetic radiation is modeled and considered as magnetic flux across membrane of the neuron, which contributes to the formation of membrane potential, and a feedback with a memristive type is used to describe coupling between magnetic flux and membrane potential. With the electromagnetic radiation being considered, the previous steady neural network can present abundant chaotic dynamics. It is found that hidden attractors can be observed in the neural network under different conditions. Moreover, periodic motion and chaotic motion appear intermittently with variations in some system parameters. Particularly, coexistence of periodic attractor, quasiperiodic attractor, and chaotic strange attractor, coexistence of bifurcation modes and transient chaos can be observed. In addition, an electric circuit of the neural network is implemented in Pspice, and the experimental results agree well with the numerical ones.

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Acknowledgements

This work is partially supported by the National Natural Science Foundation of China under the Grant Nos. 51307130 and 51177117.

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Authors and Affiliations

  1. State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xian Jiaotong University, Xi’an, 710049, China

    Xiaoyu Hu, Chongxin Liu, Ling Liu, Junkang Ni & Yapeng Yao

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  1. Xiaoyu Hu
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  2. Chongxin Liu
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  3. Ling Liu
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Correspondence to Xiaoyu Hu.

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Hu, X., Liu, C., Liu, L. et al. Chaotic dynamics in a neural network under electromagnetic radiation. Nonlinear Dyn 91, 1541–1554 (2018). https://doi.org/10.1007/s11071-017-3963-6

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